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492343607040 = 28352931142619
BaseRepresentation
bin1110010101000011111…
…01110011111100000000
31202001211021100122120220
413022201331303330000
531031304430411130
61014102440103040
750366506416105
oct7124175637400
91661737318526
10492343607040
1117a89014910a
127b504a64a80
1337573b6303c
1419b88440aac
15cc188ac410
hex72a1f73f00

492343607040 has 288 divisors, whose sum is σ = 1679128012800. Its totient is φ = 122674298880.

The previous prime is 492343607017. The next prime is 492343607047. The reversal of 492343607040 is 40706343294.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 492343606983 and 492343607001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492343607047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3380851 + ... + 3523469.

It is an arithmetic number, because the mean of its divisors is an integer number (5830305600).

Almost surely, 2492343607040 is an apocalyptic number.

492343607040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492343607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839564006400).

492343607040 is an abundant number, since it is smaller than the sum of its proper divisors (1186784405760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

492343607040 is a wasteful number, since it uses less digits than its factorization.

492343607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142703 (or 142689 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 492343607040 in words is "four hundred ninety-two billion, three hundred forty-three million, six hundred seven thousand, forty".